Singularity analysis in planar vector fields

DOI10.1063/1.4901544zbMath1342.34048OpenAlexW2128296229MaRDI QIDQ2934196

Jaume Giné

Publication date: 11 December 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4901544

zbMATH Keywords

integrabilitycritical pointsingularity analysisKovalevskaya exponentslocal expansionsquasi-homogeneous vector fields

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Explicit solutions, first integrals of ordinary differential equations (34A05) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Related Items (2)

Center conditions for generalized polynomial Kukles systems ⋮ A survey on the Kovalevskaya exponents and their applications

Cites Work

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• ON INTEGRABILITY OF DIFFERENTIAL EQUATIONS DEFINED BY THE SUM OF HOMOGENEOUS VECTOR FIELDS WITH DEGENERATE INFINITY
• Necessary condition for the existence of algebraic first integrals

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